scholarly journals Multiple orthogonal polynomials with respect to Gauss' hypergeometric function

2021 ◽  
Author(s):  
Hélder Lima ◽  
Ana Loureiro
Keyword(s):  
Orthogonal Polynomials ◽  
Hypergeometric Function ◽  
Gauss Hypergeometric Function ◽  
Multiple Orthogonal Polynomials

scholarly journals Strong asymptotics for the Pollaczek multiple orthogonal polynomials

2015 ◽  
Vol 92 (3) ◽  
pp. 709-713
Author(s):  
A. I. Aptekarev ◽  
G. López Lagomasino ◽  
A. Martínez-Finkelshtein
Keyword(s):  
Orthogonal Polynomials ◽  
Strong Asymptotics ◽  
Multiple Orthogonal Polynomials

Multiple Orthogonal Polynomials on the Unit Circle

2007 ◽  
Vol 28 (2) ◽  
pp. 173-197 ◽  
Author(s):  
Judit Minguez Ceniceros ◽  
Walter Van Assche
Keyword(s):  
Orthogonal Polynomials ◽  
Unit Circle ◽  
Multiple Orthogonal Polynomials

INTEGRAL TRANSFORM OF K4-FUNCTION

2021 ◽  
Vol 21 (2) ◽  
pp. 429-436
Author(s):  
SEEMA KABRA ◽  
HARISH NAGAR
Keyword(s):  
Laplace Transform ◽  
Hypergeometric Function ◽  
Integral Transform ◽  
Integral Transforms ◽  
Gauss Hypergeometric Function ◽  
Wright Function ◽  
Generalized Wright Function ◽  
Special Cases ◽  
Euler Transform

In this present work we derived integral transforms such as Euler transform, Laplace transform, and Whittaker transform of K4-function. The results are given in generalized Wright function. Some special cases of the main result are also presented here with new and interesting results. We further extended integral transforms derived here in terms of Gauss Hypergeometric function.

scholarly journals Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials

2019 ◽  
Vol 373 (2) ◽  
pp. 875-917 ◽  
Author(s):  
Alexander I. Aptekarev ◽  
Sergey A. Denisov ◽  
Maxim L. Yattselev
Keyword(s):  
Orthogonal Polynomials ◽  
Jacobi Matrices ◽  
Multiple Orthogonal Polynomials

Analytic expressions for annuities based on Makeham–Beard mortality laws

2020 ◽  
pp. 1-13
Author(s):  
David C. Bowie
Keyword(s):  
Hypergeometric Function ◽  
Mortality Rates ◽  
Gauss Hypergeometric Function ◽  
Mortality Data ◽  
Exponential Increase ◽  
Analytic Expressions ◽  
Life Annuities ◽  
Appell Function

Abstract This note derives analytic expressions for annuities based on a class of parametric mortality “laws” (the so-called Makeham–Beard family) that includes a logistic form that models a decelerating increase in mortality rates at the higher ages. Such models have been shown to provide a better fit to pensioner and annuitant mortality data than those that include an exponential increase. The expressions derived for evaluating single life and joint life annuities for the Makeham–Beard family of mortality laws use the Gauss hypergeometric function and Appell function of the first kind, respectively.

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